The Dutch countryside is mostly open fields of farms (especially in the northern part of the country, where Amsterdam is located). What do you expect to stop to see? The interesting places to see here are the parks and nature preserves (no cars) and the very old cities (like Haarlem, Amsterdam and Utrecht). The open farm fields here are probably not much different from open farm fields in the US or anywhere else.

You can easily ride through the open countryside by bus and stop either in the countryside or in villages. But, perhaps more interesting and fun for you, is to do it the "Dutch way." Rent a bike and go where you want. You can rent bikes at most larger train stations (operated by the railway), including Haarlem and Amsterdam. There are zero fuel costs (auto fuel is currently €1.83 per liter, on average) and the rental costs are much lower than for an auto.

Also, the northern part of the country is very famous for being flat. In the southern part of the country, there are some small hills. They are called the "Dutch Alps".

Additionally, bicycles routes here are not on the auto routes. Special paths have been built only for bicycles and sometime also for walking. For an example of this, look here: http://www.fietseropuit.nl/fietsrout...and/heemstede/

The green lines are bike paths, the numbers are on signs so that you can follow a route. If you look for Lisse on this map, you can see Keukenhof (it is where the black and white icon of a bike is).

If the weather is nice, a bike trip to Keukenhof and around some of the old villages is something you will remember long after you have forgotten about another auto trip you have taken.